Calculus Examples

$lim_{x \to - 1} \frac{- {1.01}^{3} - (1.01)}{- 1.01 + 1}$

Step 1

Evaluate the limit of $\frac{- {1.01}^{3} - (1.01)}{- 1.01 + 1}$ which is constant as $x$ approaches $- 1$ .

$\frac{- {1.01}^{3} - (1.01)}{- 1.01 + 1}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $1.01$ to the power of $3$ .

$\frac{- 1 \cdot 1.030301 - (1.01)}{- 1.01 + 1}$

Step 2.1.2

Multiply $- 1$ by $1.030301$ .

$\frac{- 1.030301 - (1.01)}{- 1.01 + 1}$

Step 2.1.3

Multiply $- 1$ by $1.01$ .

$\frac{- 1.030301 - 1.01}{- 1.01 + 1}$

Step 2.1.4

Subtract $1.01$ from $- 1.030301$ .

$\frac{- 2.040301}{- 1.01 + 1}$

Step 2.2

Add $- 1.01$ and $1$ .

$\frac{- 2.040301}{- 0.01}$

Step 2.3

Divide $- 2.040301$ by $- 0.01$ .

$204.0301$